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Article

Energy Dissipation and Decoherence in Solid-State Quantum Devices: Markovian versus non-Markovian Treatments

Department of Applied Science and Technology, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy
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Entropy 2020, 22(4), 489; https://doi.org/10.3390/e22040489
Received: 19 March 2020 / Revised: 18 April 2020 / Accepted: 22 April 2020 / Published: 24 April 2020
(This article belongs to the Special Issue Open Quantum Systems (OQS) for Quantum Technologies)
The design and optimization of new-generation solid-state quantum hardware absolutely requires reliable dissipation versus decoherence models. Depending on the device operational condition, the latter may range from Markov-type schemes (both phenomenological- and microscopic- like) to quantum-kinetic approaches. The primary goal of this paper is to review in a cohesive way virtues versus limitations of the most popular approaches, focussing on a few critical issues recently pointed out (see, e.g., Phys. Rev. B 90, 125140 (2014); Eur. Phys. J. B 90, 250 (2017)) and linking them within a common framework. By means of properly designed simulated experiments of a prototypical quantum-dot nanostructure (described via a two-level electronic system coupled to a phonon bath), we shall show that both conventional (i.e., non-Lindblad) Markov models and density-matrix-based non-Markov approaches (i.e., quantum-kinetic treatments) may lead to significant positivity violations. While for the former case the problem is easily avoidable by choosing genuine Lindblad-type dissipation models, for the latter, a general strategy is still missing. View Full-Text
Keywords: semiconductor nanodevices; electronic phase coherence; dissipation models; Markov limit; quantum technologies; density-matrix formalism semiconductor nanodevices; electronic phase coherence; dissipation models; Markov limit; quantum technologies; density-matrix formalism
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MDPI and ACS Style

Iotti, R.C.; Rossi, F. Energy Dissipation and Decoherence in Solid-State Quantum Devices: Markovian versus non-Markovian Treatments. Entropy 2020, 22, 489. https://doi.org/10.3390/e22040489

AMA Style

Iotti RC, Rossi F. Energy Dissipation and Decoherence in Solid-State Quantum Devices: Markovian versus non-Markovian Treatments. Entropy. 2020; 22(4):489. https://doi.org/10.3390/e22040489

Chicago/Turabian Style

Iotti, Rita C., and Fausto Rossi. 2020. "Energy Dissipation and Decoherence in Solid-State Quantum Devices: Markovian versus non-Markovian Treatments" Entropy 22, no. 4: 489. https://doi.org/10.3390/e22040489

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